Prediction of the Formation of Dust Voids (Holes) in Nonextensive Dusty Plasmas With Adiabatic Charge Variation

ABSTRACT We present a self‐consistent theoretical model for a dusty plasma comprising Maxwellian electrons, nonextensive (Tsallis) ions, and dust grains that follow a vortex‐like trapped distribution, with the dust charge varying adiabatically. The model couples Poisson's equation, a modified dust density that accounts for trapped particles, and an adiabatic charge relation derived from orbital‐motion‐limited currents. Using parameters from 10 realistic plasma environments (e.g., cometary comae, Saturn's spokes, DC discharges), we demonstrate that the ratio of dust plasma frequency to charging frequency satisfies , justifying the adiabatic approximation. Numerical solutions reveal two qualitatively distinct regimes. In the supra‐nonextensive regime (), the electrostatic potential forms a broad, large‐amplitude hump (up to ), accompanied by a deep dust density depletion‐a well‐defined dust void. In contrast, the sub‐nonextensive regime () yields much narrower and smaller‐amplitude structures (), with a shallower void. The dust charge becomes more negative at the void center, and this effect is significantly stronger for . The vortex‐like dust distribution, characterized by a hole in velocity space (), is essential for producing a local minimum in dust density. Our results provide a theoretical framework for interpreting void formation in non‐equilibrium dusty plasmas and suggest that ion nonextensivity can enhance void depth and width.